Max (2zmaxx)

Race #228

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Official speed 104.02 wpm (99.67 seconds elapsed during race)
Without ending ping 104.11 wpm (82 ms delay sending score to TypeRacer’s server)
Timerless 104.48 wpm (357 ms elapsed before first character typed; 99.23 seconds elapsed during race)
Timerless minus one 104.36 wpm, ignoring the first character typed
Race Start October 1, 2023 6:44:40am UTC
Race Finish October 1, 2023 6:46:20am UTC
Outcome No win (2 of 3)
Opponents 1. afraidofthebomb (116.05 wpm)
Accuracy 97.0%
Points 280.85
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed calCalculus is a tool that helps us understand how a chagne inchange in one quantity is realalated ot a to a change in another. How does the speed of a falling object changes as a function of time/ ? How does the level of water ina . a beaarrel change as a function of the amount of luiquid poured into it? We see change occuring icooccurring in nearly everything we observe int he in the world and universe, and powerful modern instruments hlep elp us sese more and moerere. In this section we introudduce the iadeas of average ad nd instantaneous reatates of change, and show that they are closely related to the slope o af a curve as t a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an infroormal approach so you will seee how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role ithroughout clacuacllculus.
Timing
Character c a l -c -a -l C a l c u l u s i s a t o o l
Milliseconds 357 110 124 374 0 0 432 173 76 485 72 141 98 89 78 31 58 86 100 95 181 57 132 156 66
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 85 79 16 69 64 70 90 21 203 56 111 84 45 91 154 129 57 127 65 54 124 37 52 66 133
Character h o w a c h a g n e i n -c -h -a -g -n -e - -i -n c
Milliseconds 126 61 25 71 57 96 112 71 35 111 0 71 48 35 94 257 0 0 0 0 0 0 0 0 202
Character h a n g e i n o n e q u a n t i t y i s
Milliseconds 102 59 81 77 53 100 69 68 131 181 76 181 133 32 137 52 211 108 26 111 51 344 80 98 43
Character r e a l a -a -l -a l a t e d o t a - -a -o -t - t
Milliseconds 150 62 43 17 182 211 122 145 178 32 32 63 104 66 117 0 87 53 101 254 143 499 0 0 310
Character o a c h a n g e i n a n o t h e r . H o
Milliseconds 10 132 66 100 80 69 82 66 46 80 78 35 87 108 43 99 88 19 71 80 64 97 72 194 67
Character w d o e s t h e s p e e d o f a f a l
Milliseconds 92 48 102 70 70 63 41 71 44 81 48 111 63 106 125 126 50 69 67 80 20 95 106 82 75
Character l i n g o b j e c t c h a n g e s -s a s a
Milliseconds 143 92 95 43 44 111 91 178 71 113 146 76 152 54 53 141 35 84 113 294 102 55 62 61 124
Character f u n c t i o n o f t i m e / - -/ ? H o
Milliseconds 52 134 96 127 41 164 7 52 62 70 81 7 90 100 24 82 75 128 176 288 122 174 82 335 213
Character w d o e s t h e l e v e l o f w a t e r
Milliseconds 95 72 83 60 97 17 59 82 35 81 63 78 65 131 111 58 75 82 99 90 106 57 103 86 73
Character i n a . - -. -a a b e a -a -e a r r e l c h
Milliseconds 35 59 141 116 24 155 274 120 142 164 62 88 96 115 91 181 121 95 83 127 92 97 93 118 61
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 6 127 25 64 97 142 54 11 115 16 103 83 159 19 200 40 58 34 82 83 39 67 283 54 65
Character a m o u n t o f l u -u i q u i d p o u r e
Milliseconds 57 92 87 8 109 186 84 83 21 125 17 114 143 332 126 66 43 127 95 113 66 130 68 86 49
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 164 78 19 110 84 74 82 115 114 169 64 136 347 184 87 61 144 15 136 62 34 99 31 84 78
Character o c c u r i n g i -o -c -c -u -r -i -n -g - -i c o -o -c o
Milliseconds 125 152 144 70 122 85 93 38 87 47 271 0 0 0 0 0 0 0 0 0 690 48 225 116 154
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 121 149 82 121 107 106 42 101 37 50 59 99 287 190 35 71 53 110 99 47 127 116 61 0 144
Character h i n g w e o b s e r v e i n t h e -i -n
Milliseconds 40 53 103 41 90 71 40 94 157 431 168 81 114 160 95 76 45 88 109 0 118 27 99 268 0
Character -t - -h -e - i n t h e w o r l d a n d u n i
Milliseconds 0 0 0 0 0 247 62 100 65 63 60 57 79 51 82 102 66 41 83 32 85 41 172 142 75
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 54 113 55 80 83 52 70 67 64 33 112 349 156 48 47 60 144 170 141 96 150 60 110 135 54
Character n i n s t r u m e n t s h l e p - -p -e -l e l
Milliseconds 64 74 52 77 84 98 106 61 178 41 111 60 53 62 70 139 0 155 111 192 122 140 130 138 57
Character p u s s e s -s e m o r e a n d m o e r e
Milliseconds 135 135 126 98 39 129 44 87 324 163 70 52 72 58 67 33 76 49 69 56 75 65 23 36 117
Character -e -r -e r e . I n t h i s s e c t i o n w e
Milliseconds 279 113 142 88 18 108 43 168 98 89 58 65 55 63 47 143 95 136 156 55 62 42 82 292 54
Character i n t r o u d -d -u d u c e t h e i a -a d e a
Milliseconds 82 50 77 108 166 94 133 63 228 136 74 74 76 62 124 112 41 80 45 89 135 418 148 138 36
Character s o f a v e r a g e a d - -d n d i n s t
Milliseconds 81 53 60 89 42 113 335 123 91 68 99 74 36 87 128 118 354 120 148 58 86 55 80 45 152
Character a n t a n e o u s r e a t -t -a -e a t e s o f
Milliseconds 42 133 332 66 317 175 109 55 99 105 353 65 77 79 243 111 145 87 40 65 70 46 62 60 71
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 154 0 130 65 86 63 79 43 92 77 35 90 70 34 81 80 34 144 97 90 89 43 111 44 93
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 30 145 15 63 73 27 128 121 172 109 53 332 320 105 105 57 118 59 56 72 123 91 105 113 159
Character t h e s l o p e o a -a - f a c u r v e
Milliseconds 102 65 61 74 110 59 126 133 89 73 49 135 77 276 112 161 55 67 71 185 101 88 162 111 85
Character a s - -s t a p o i n t P o n t h e c
Milliseconds 65 74 90 417 117 146 34 80 61 113 129 33 98 33 58 175 111 88 78 56 68 60 66 70 120
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 42 111 163 63 71 54 204 74 99 119 96 80 79 46 74 95 72 195 98 75 62 130 68 152 93
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 111 41 142 267 236 83 96 71 88 62 61 63 63 87 48 82 92 83 39 63 100 48 122 66 465
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 119 83 91 58 144 97 329 121 77 490 113 65 82 93 92 61 33 86 55 69 52 85 149 110 33
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 152 71 71 276 164 98 80 48 28 156 69 86 54 180 71 111 20 115 37 61 70 119 40 114 116
Character s e a n i n f r o -o -r o r m a l a p p r o a
Milliseconds 72 34 89 100 18 115 44 105 146 233 196 179 110 158 86 59 126 46 87 98 91 116 87 67 107
Character c h s o y o u w i l l s e e e - -e h o
Milliseconds 72 49 128 14 110 84 116 69 77 59 45 90 112 127 72 52 52 80 206 163 305 117 95 115 68
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 77 69 59 56 113 15 110 96 63 42 92 61 61 81 78 89 93 60 66 110 255 91 89 73 96
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 131 70 72 69 203 48 78 83 96 21 109 126 52 80 30 83 54 78 64 61 52 63 88 64 124
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 61 110 90 67 68 76 70 69 100 50 183 35 111 69 107 78 72 189 68 87 73 69 66 131 62
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 93 30 115 89 118 50 122 72 93 76 81 98 13 290 41 159 172 110 35 113 174 63 60 150 17
Character a t i o n a l r o l e i -i t h r o u g h o u t
Milliseconds 80 97 18 83 13 72 92 58 113 48 140 75 20 88 435 231 66 85 63 70 13 132 71 80 36
Character c l a c u -u -c -a -l a c l -l -c l c u l u s .
Milliseconds 131 112 84 50 77 113 212 124 140 126 49 135 24 439 126 166 107 76 132 87 75 105
WPM Timing
Seconds WPM
1.99 18.06
3.99 75.25
5.98 96.31
7.97 90.3
9.97 93.91
11.96 84.28
13.95 86.86
15.95 95.56
17.94 98.99
19.93 101.13
21.93 97.96
23.92 103.34
25.92 98.17
27.91 101.47
29.9 102.74
31.9 103.84
33.89 103.4
35.88 97.65
37.88 98.53
39.87 99.32
41.86 98.32
43.86 99.87
45.85 101.03
47.84 99.58
49.84 100.17
51.83 100.02
53.82 99.88
55.82 99.54
57.81 99.01
59.8 98.12
61.8 98.84
63.79 100.27
65.78 100.33
67.78 99.86
69.77 99.58
71.76 100.33
73.76 100.54
75.75 101.23
77.75 100.79
79.74 101.58
81.73 102.48
83.73 102.33
85.72 101.91
87.71 102.88
89.71 103.94
91.7 104.56
93.69 105.15
95.69 105.85
97.68 105.16
99.67 104.02